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Hank and Lynn are both paying off car loans.
• Hank paid $2,000 up front when he bought his car, and he pays $200 each month.
• Lynn did not pay any money up front when she bought her car, and she pays $275 each
month.
Is the relationship between the number of months and the total amount paid proportional
for both Hank's and Lynn's loans?

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Answer:

The relationship between the number of months and the total amount paid is proportional  for both Hank's and Lynn's loans.

Step-by-step explanation:

Hank and Lynn are both paying off car loans.

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

Therefore, the total amount paid (C(h)) after x months by given by  

C(h) = 2000 + 200x ......... (1)

So, this relation is proportional but not directly proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

Therefore, the total amount paid (C(l)) after x months by given by  

C(l) = 275x ......... (2)

So, this is a directly proportional relation which is also proportional.  

Therefore, the relationship between the number of months and the total amount paid is proportional to both Hank's and Lynn's loans. (Answer)

For both Hank's and Lynn's loans, there is a proportional relationship between the number of months of payment and the amount being paid.

Solving this question involves using the concept of proportions.

  • Now, we are told that Hank paid $2,000 up front and he now pays $200 each month.

This means that if the number of months he has to pay to make up the loan is x, then the total amount he would have paid after x months  would be expressed as;

A(H) = 2000 + 200x

  • Now, we can see that the higher the number of months,the more the amount paid by Hank. This means that the total loan amount paid by hank is proportional to the number of months needed to pay up the loan.

  • Likewise in terms of Lynn, she didn't pay any money upfront but she pays $275 every month. Thus, amount paid by Lynn after x months is;

A(L) = 275x

  • This means that as the number of months increase, the amount to be paid increases as well. Thus we can say the amount to be paid by Lynn is directly proportional to the number of months of payment.

     In conclusion, for both Hank's and Lynn's loans, there is proportional a relationship between the number of months of payment and the amount being paid.

Read more at; brainly.com/question/19862709

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